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Finding the Third Proportional to 604,092 and 846,802

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Solution

The third proportional to 604,092 and 846,802 is: 1,187,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,092 : 846,802 = 846,802 : x
  2. Step 2: Convert to fraction form
    604,092/846,802 = 846,802/x
  3. Step 3: Cross multiply
    604,092x = 846,802 × 846,802
  4. Step 4: Simplify right side
    604,092x = 717,073,627,204
  5. Step 5: Solve for x
    x = 717,073,627,204/604,092
  6. Step 6: Final answer
    x = 1,187,027.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.